Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
448 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 141 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C22×#10621885 | C2 | semidirect |
| 4. #14583172 | C2 | direct (N × H) |
| 5. C2×#13063260 | C2 | semidirect |
| 6. C2×#13063244 | C2 | semidirect |
| 7. C2×#13063243 | C2 | semidirect |
| 16. C2×#10621885 | C22 | semidirect |
| 25. #13063260 | C22 | semidirect |
| 26. #13063244 | C22 | semidirect |
| 27. #13063243 | C22 | semidirect |
| 132. C2×C43 | #473 | semidirect |
| 142. C43 | C2×#473 | semidirect |
| 265. C2 | #14583172 | direct (N × H) |